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Finding the Fourth Proportional to 204,266.86, 281,888.23 and 114,842.86

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Solution

The fourth proportional to 204,266.86, 281,888.23 and 114,842.86 is: 158,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,266.86 : 281,888.23 = 114,842.86 : x
  2. Step 2: Convert to fraction form
    204,266.86/281,888.23 = 114,842.86/x
  3. Step 3: Cross multiply
    204,266.86x = 281,888.23 × 114,842.86
  4. Step 4: Simplify right side
    204,266.86x = 32,372,850,533.54
  5. Step 5: Solve for x
    x = 32,372,850,533.54/204,266.86
  6. Step 6: Final answer
    x = 158,483.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.